HG 1628 

.B38 
Copy 1 



U 



-A_ IbTIE^T" METHOD 



COMPUTING INTEREST 



FOUR PER CENTUM TO TWELVE PER CENTUM 



SHORT AND EASY METHOD 



ID *' ttJB2>TTlir BEATTY' 



, SEP 12 1887/ 
V. sirs J 



MASSILLON, OHIO Y'^V $1 



Designed for the use of Schools also Bankers 
and Business Men Generally. 



COPYRIGHTED BY HENRY BEATTY, MARCH 7, 1887. 



~\ V^-S 



.B3X 
/S*7 



Press of Newstetter & Co., 
Massillon, O. 



PREFACE. 



Tn this little book, I have labored to obtain the de- 
-*~ sired result with the least work possible. It seems to 
me that much unneccessary work is expended upon examples, 
where the interest is desired, and it has been my aim to make the 
method shorter and easier. For instance in the six per cent 
method, why need we waste time by multiplying the entire prin- 
cipal by the number of days and dividing by sixty, when the same 
result can be had by dividing either the time or principal by six 
and multiplying the quotient by the unused factor. 

I have introduced several ways of obtaining interest under 
the same principle, and a good accountant can see at a glance, 
which one will be best to use. In presenting this book to the 
public, it must stand or fall on its own merits. I have no refer- 
ences or testimonials to accompany it, but publish it simply be- 
cause I think it makes hard work much easier and shorter. 

HENRY BEATTY. 



Sliort jVletliocL for Countingf 
Interest. 



Tx this method of computing interest we take rears, 
-*- months and days together, and get as many tenths as 
tenths are contained in the given time, at any rate per cent. The 
higher the interest the more tenths are required in the same time. 
By dividing 360 days by 36, we get ten tenths for one year, the 
quotient of this divisor is one-sixth of a quotient obtained by a 
divisor of six. By multiplying the ten-tenths by the given rate 
per cent., we have the interest on one dollar for one year. Where- 
as if we divide our time by six, our quotient will be six times ten- 
tenths and can only be used for six per cent, unless we take one- 
sixth of the quotient and multiply it by the rate per cent. By 
dividing by 36 or 12, we obtain the same result, but for the latter 
divisor, instead of reducing the months to days, we write the 
months and annex one-third of the days. If the days are less 
than three annex a cipher and 33 ^ for one day and 66% for two 
days. If the days are three or more, dispense with the cipher. 
For one year we write twelve months and annex a cipher (120). 
Thus written, it will stand as one to ten, or as thirtv-six to three 



6. BEATTY'S SHORT METHOD 

hundred and sixty. There are other figures with which we can 
obtain the same results, but for divisors, 36 or 12 are probably the 
best to adopt. By reducing the months to days, adding the odd 
days, and dividing by 36, we have but one fraction to reduce, and 
when we divide by 12, if the days do not divide evenly by three, 
we have two fractions to reduce. It matters not whether we di- 
vide the time or the principal, though the time is preferable, un- 
less the principal is large and the time is ten days or less. In 
either case the quotient must be multiplied by the given rate per 
cent. 

In the following table, (Page 9), the interest is counted on 
one dollar at the different rates per cent, for 360 days, (allowing 
30 days for each month,) also for months and years separately. 
The unit or zero line is to the left of the three right hand figures. 
All on the left of that line are cents and dollars, and all on the 
right are tenths, hundredths, thousandths, etc. 

We have obtained this table by the following rule: Write 
the number of months, annex one-third of the days, and divide by 
twelve, or the same result is obtained by dividing the entire num- 
ber of days, including the months, by thirty-six. Then multiply 
the quotient by the given rate per cent., and the result will be the 
interest on one dollar for the given time. 

To find the interest on a given sum for a given time at a 
given rate per cent, turn to the table, run down the 
first column of figures, representing time, till you reach the given 
time. Follow to the right, till you reach the figure under the col- 
umn, headed by the given rate per cent., and multiply the given 
principal by this figure. Cut off three right hand figures and 
allow two places for cents. 



OF COMPUTING INTEREST. 



Example 1. Find the interest on $36.00 for 18 days, at ' 
l / 3 of 18 days = 6 days. 

12)6.00 or 36)1800 

T5(T 50 

7 7 

"350 "350 

$36 $36 



2100 .12,600 

1050 
.1^600 



In the table run down the column representing time, until 
you reach 18 days. Follow to the right and under the 1% column 
we find the number 0350. Multiply $36.00 by this number, cut 
off the three right hand figures, and we have the required amount, 
12 cents. 

Example 2. Find the interest on $50.00 for 3 months, 18 
days, at 6$. 

)i of 18 days =6 days. 

12)3600 or 3 months=90 days. 

^00 J? 

6 36)108 " 

1800 300 

$50 6 



.90,000 1800 

$50 
.90,000 

To use table, follow as before. 



BEATTY'S SHORT METHOD 



Example 3. Find the interest on $100.00 for 2 years, 6 
months, at 8%. 

2 vears = 24 months. 2 vears = 720 days. 
6 or 6 months=:180 " 

12)80 " 36 )900 " 

2.500 2500 

8 _8 

20000 20000 

$100 $100 

$20.00,000 $20 00,000 

Example 4. Find the interest on $9729.00 for 6 days, at 6%. 

36 )600 _ 9729 

016% _ 10 ° 

6 $9.72,900 

100 

In the above examples we have annexed ciphers, the same as 
in the table of interest. In example No. i we have annexed one 
unnecessary cipher which is one thousandth of a unit, and by 
dispensing with that we have two figures to cut off: tenths and 
hundredths. 

In examples 2 and 3, we have in each two unnecessary 

ciphers, and by dispensing with them, we have but the tenths to 
cut off in either. 

Example 4 has two unnecessary ciphers annexed, but with 
them annexed we see that the principal and interest aie precisely 
the same. In examples like this we cut off the right hand dollar 
figure from the principal with all to the right of it, and the 
interest remains. 



OF COMPUTING INTEREST. 



9 



D 


\% 


5% 


6% 


1% 


$% 


9% 


io % 


ii % 


12 % 


1 


0011 


0014 


0017 


0019 


0022 


0025 


0028 


0031 


0033 


2 


0022 


0028 


0033 


0039 


0044 


0050 


0056 


0061 


0067 


3 


0033 


0042 


0050 


0058 


0067 


0075 


0083 


0092 


0100 


4 


0044 


0056 


0067 


0078 


0089 


0100 


0111 


0122 


0133 


5 


0056 


0069 


0083 


0097 


0111 


0125 


0139 


,0153 


0167 


6 


0067 


0083 


0100 


0117 


0133 


0150 


0167 


0183 


0200 


7 


0078 


0097 


0117 


0136 


0156 


0175 


0194 


0214 


0233 


8 


0089 


0111 


0133 


0156 


0178 


0200 


0222 


0244 


0267 


9 


0100 


0125 


0150 


0175 


0200 


0225 


0250 


0275 


0300 


10 


0111 


0139 


0167 


0194 


0222 


0250 


0278 


0306 


0333 


11 


0122 


0153 


0183 


0214 


0244 


0275 


0306 


0336 


0367 


12 


0133 


0167 


0200 


0233 


0267 


0300 


0333 


0367 


0400 


13 


0144 


0181 


0217 


0253 


0289 


0325 


0361 


0397 


0433 


14 


0156 


0194 


0233 


0272 


0311 


0350 


0389 


0428 


0467 


15 


0167 


0208 


0250 


0292 


0333 


0375 


0417 


0458 


0500 


16 


0178 


0222 


0267 


0311 


0356 


0400 


0444 


0485 


0533 


17 


0189 


0236 


0283 


0331 


0378 


0425 


0472 


0519 


0567 


18 


0200 


0250 


0300 


0350 


0400 


0450 


0500 


0550 


0600 


19 


0211 


0264 


0317 


0369 


0422 


0475 


0528 


0581 


0633 


20 


0222 


0278 


0333 


0389 


0444 


0500 


0556 


0611 


0667 


21 


0233 


0292 


0350 


0408 


0467 


0525 


0583 


0642 


0700 


22 


0244 


0306 


0367 


0428 


0489 


0550 


0611 


0672 


0733 


23 


0256 


0319 


0383 


0447 


0511 


0575 


0639 


0703 


0767 


24 


0267 


0333 


0400 


0467 


0533 


0600 


0667 


0733 


0800 


25 


0278 


0347 


0417 


0486 


0556 


0625 


0694 


0764 


0833 


26 


0289 


0361 


0433 


0506 


0578 


0650 


0722 


0794 


0867 


27 


0300 


0375 


0450 


0525 


0600 


0675 


0750 


0825 


0900 


28 


0311 


0389 


0467 


0544 


0622 


0700 


0778 


0856 


0933 


29 


0322 


0403 


0483 


0564 


0644 


0725 


0806 


0886 


0967 


30 


0333 


0417 


0500 


0583 


0667 


0750 


0833 


0917 


1000 



BEATTY'S SHORT METHOD 



M D 


4^ 


b% 


6^ 


1% 


8% 


9% 


10 % 


11 t 


12 % 


1 1 


0345 


0431 


0517 


0603 


0689 


0775 


0862 


0947 


1033 


" 2 


0356 


0444 


0533 


0622 


0711 


0800 


0897 


0978 


1067 


" 3 


0367 


0458 


0550 


0642 


0733 


0825 


0923 


1008 


1100 


" 4 


0378 


0472 


0567 


0661 


0756 


0850 


0948 


1016 


1133 


" 5 


0389 


0486 


0583 


0681 


0778 


0875 


0974 


1069 


1167 


" 6 


0400 


0500 


0600 


0700 


0800 


0900 


1000 


1100 


1200 


» 7 


0411 


0514 


0617 


0719 


0822 


0925 


1028 


1131 


1233 


" 8 


0422 


0528 


0633 


0739 


0844 


0950 


1056 


1161 


1267 


" 9 


0433 


0542 


0650 


0758 


0867 


0975 


1083 


1192 


1300 


" 10 


0444 


0556 


0667 


0778 


0889 


1000 


1111 


1222 


1333 


" 11 


0456 


0569 


0683 


0795 


0911 


1025 


1139 


1253 


1367 


" 12 


0467 


0583 


0700 


0817 


0933 


1050 


1167 


1283 


1400 


" 13 


0478 


0597 


0717 


0836 


0956 


1075 


1194 


1314 


1433 


« 14 


0489 


0611 


0733 


0856 


0978 


1100 


1222 


1344 


1467 


" 15 


0500 


0625 


0750 


0875 


1000 


1125 


1250 


1375 


1500 


" 16 


0511 


0639 


0767 


0894 


1022 


1150 


1278 


1406 


1533 


» 17 


0522 


0653 


0783 


0914 


1044 


1175 


1306 


1437 


1567 


" 18 


0533 


0667 


0800 


0933 


1067 


1200 


1333 


1470 


1600 


" 19 


0544 


0681 


0817 


0953 


1089 


1225 


1361 


1497 


1633 


" 20 


0556 


0694 


0833 


0972 


1111 


1250 


1389 


1528 


1667 


" 21 


0567 


0708 


0850 


0992 


1133 


1275 


1417 


1558 


1700 


" 22 


0578 


0722 


0867 


1011 


1156 


1300 


1444 


1589 


1733 


" 23 


0589 


0736 


0883 


1031 


1178 


1325 


1472 


1619 


1767 


" 24 


0600 


0750 


0900 


1050 


1200 


1350 


1500 


1650 


1800 


" 25 


0611 


0764 


0917 


1069 


1222 


1375 


1528 


1681 


1833 


" 26 


0622 


0778 


0933 


1089 


1244 


1400 


1556 


1711 


1867 


" 27 


0633 


0792 


0950 


1108 


1267 


1425 


1583 


1742 


1900 


" 28 


0644 


0806 


0967 


1128 


1289 


1450 


1611 


1772 


1933 


" 29 


0656 


0819 


0983 


1147 


1311 


1475 


1639 


1803 


1967 


" 30 


0667 


0833 


1000 


1167 


1333 


1500 


1667 


1833 


2000 



OF COMPUTING INTEREST. 



M D 


4$ 
0678 


0847 


6% 
1017 


1% 
1186 


8% 
1356 


9% 
1525 


10 % 
1694 


11 % 
1864 


12 % 


2 1 


2033 


" 2 


0689 


0861 


1033 


1206 


1378 


1550 


1722 


1893 


2067 


M 3 


0700 


0875 


1050 


1225 


1400 


1575 


1750 


1925 


2100 


" 4 


0711 


0886 


1067 


1244 


1422 


1600 


1778 


1950 


2133 


" 5 


0722 


0903 


1083 


1264 


1444 


1625 


1806* 


1986 


2167 


»* 6 


0733 


0917 


1100 


1283 


1467 


1650 


1833 


2017 


2200 


u 7 


0744 


0931 


1117 


1303 


1489 


1675 


1861 


2056 


2233 


« 8 


0756 


0944 


1133 


1322 


1511 


1700 


1889 


2078 


2267 


" 9 


0767 


0958 


1150 


1342 


1533 


1725 


1917 


2108 


2300 


w 10 


0778 


0972 


1167 


1361 


1556 


1750 


1944 


2139 


2333 


" 11 


0789 


0986 


1183 


1381 


1578 


1775 


1972 


2169 


2367 


M 12 


0800 


1000 


1200 


1400 


1600 


1800 


2000 


2200 


2400 


" 13 


0811 


1014 


1217 


1419 


1622 


1825 


2028 


2231 


2433 


u 14 


0822 


1028 


1233 


1439 


1644 


1850 


2056 


2261 


2467 


" 15 


0833 


1042 


1250 


1458 


1667 


1875 


2083 


2292 


2500 


" 16 


0844 


1056 


1267 


1478 


1689 


1900 


2111 


2322 


2533 


« 17 


0856 


1069 


1283 


1497 


1711 


1925 


2139 


2353 


2567 


" 18 


0867 


1083 


1300 


1517 


1733 


1950 


2167 


2383 


2600 


" 19 


0878 


1097 


1317 


1536 


1756 


1975 


2194 


2414 


2633 


« 20 


0889 


1111 


1333 


1556 


1778 


2000 


2222 


2444 


2667 


* 21 


0900 


1125 


1350 


1575 


1800 


2025 


2250 


2475 


2700 


« 22 


0911 


1139 


1367 


1595 


1822 


2050 


2278 


2506 


2733 


" 23 


0922 


1153 


1383 


1614 


1844 


2075 


2306 


2536 


2767 


* 24 


0933 


1167 


1400 


1633 


1867 


2100 


2333 


2567 


2800 


" 25 


0944 


1181 


1417 


1653 


1889 


2125 


2361 


2597 


2833 


" 26 


0956 


1194 


1433 


1672 


1911 


2150 


2389 


2628 


2867 


" 27 


0967 


1208 


1450 


1692 


1933 


2175 


2417 


2658 


290(J 


" 28 


0978 


1222 


1467 


1711 


1956 


2200 


2444 


2689 


2933 


" 29 


0989 


1236 


1483 


1731 


1978 


2225 


2472 


2719 


2967 


h 30 


1000 


1250 


1500 


1750 


2000 


2250 


2500 


2750 


3000 



BEATTY'S SHORT METHOD 



9 

10 

11 

12 

13 

14 

15 

16 

17 

18 

19 

20 

21 

22 

23 

24 

25 

26 

27 

28 

29 

30 



4$ 


5$ 


6% 


1011 


1264 


1517 


1022 


1278 


1533 


1033 


1292 


1550 


1044 


1306 


1567 


1056 


1319 


1583 


1067 


1333 


1600 


1078 


1347 


1617 


1089 


1361 


1633 


1100 


1375 


1650 


1111 


1389 


1667 


1122 


1403 


1683 


1133 


1417 


1700 


1144 


1431 


1717 


1156 


1444 


1733 


1167 


1458 


1750 


1178 


1472 


1767 


1189 


1486 


1783 


1200 


1500 


1800 


1211 


1514 


1817 


1222 


1528 


1833 


1233 


1542 


1850 ] 


1244 


1556 


1867 


1256 


1569 


1883 


1267 


1583 


1900 


1278 


1597 


1917 


1289 


1611 


1933 


1300 


1625 


1950 


1311 


1639 


1967 


1322 


1653 


1983 


1333 


1667 


2000 



1769 
1789 
1808 
1828 
1847 
1867 
1886 
1906 
1925 
1944 
1964 
1983 
2003 
2023 
2042 
2061 
2081 
2100 
2119 
2139 
2158 
2178 
2197 
2217 
2236 
2256 
2275 
2295 
2314 
2333 



2022 
2044 
2067 
2089 
2111 
2133 
2156 
2178 
2200 
2222 
2244 
2267 
2289 
2311 
2333 
2356 
2378 
2400 
2422 
2444 
2467 
2489 
2511 
2533 
2556 
2578 
2600 
2622 
2644 
2667 



9% 


10 % 


11 % 


2275 


2528 


2781 


2300 


2556 


2811 


2325 


2583 


2842 


2350 


2611 


2872 


2375 


2639 


2902 


2400 


2667 


2933 


2425 


2694 


2964 


2450 


2722 


2994 ; 


2475 


2750 


3025 


2500 


2778 


3056 


2525 


2806 


3086 


2550 


2833 


3117 


2575 


2861 


3147 


2600 


2889 


3178 


2625 


2917 


3208 


2650 


2944 


3239 


2675 


2972 


3269 


2700 


3000 


3300 


2725 


3028 


3331 


2750 


3056 


3361 


2775 


3083 


3392 i 


2800 


3111 


3422 


2825 


3 139 


3453 


2850 


3167 


3483 


2875 


3194 


3514 


2900 


3222 


3544 


2925 


3250 


3575 


2950 


3278 


3606 


2975 


3306 


3636 


3000 


3333 


3667 ; 



OF COMPUTING INTEREST. 



i3- 



M D 


4$ 

1344 


1681 


6$ 
2017 


7£ 
2353 


8% 
2689 


9% 
3025 


10 % 
3361 


11 % 
3697 


12 % 


4 1 


4033 


" 2 


1356 


1694 


2033 


2372 


2711 


3050 


3389 


3728 


4067 


»• 3 


1367 


1708 


2050 


2392 


2733 


3075 


3417 


3758 


4100 


ii 4 


1378 


.1722 


2067 


2411 


2756 


3100 


3444 


3789 


4133 


" 5 


1389 


1736 


2083 


2431 


2778 


3125 


3472 


3819 


4167 


* 6 


1400 


1750 


2100 


2450 


2800 


3150 


3500 


3850 


4200 


a 7 


1411 


1764 


2117 


2469 


2822 


3175 


3528 


3881 


4233 


" 8 


1422 


1778 


2133 


2489 


2844 


3200 


3556 


3911 


4267 


" 9 


1433 


1792 


2150 


2508 


2867 


3225 


3583 


3942 


4300 


" 10 


1444 


1806 


2167 


2528 


2889 


3250 


3611 


3972 


4333 


" 11 


1456 


1819 


2183 


2547 


2911 


3275 


3639 


4003 


4367 


" 12 


1467 


1833 


2200 


2567 


2933 


3300 


3667 


4033 


4400 


" 13 


1478 


1847 


2217 


2586 


2956 


3325 


3694 


4064 


4433 


u M 


1489 


1861 


2233 


2606 


2978 


3350 


3722 


4094 


4467 


" 15 


1500 


1875 


2250 


2625 


3000 


3375 


3750 


4125 


4500 


'< 16 


1511 


1889 


2267 


2645 


3022 


3400 


3778 


4156 


4533 


u 17 


1522 


1903 


2283 


2664 


3044 


3425 


3806 


4186 


4567 


" 18 


1533 


1917 


2300 


2683 


3067 


3450 


3833 


4217 


4600 


" 19 


1544 


1931 


2317 


2703 


3089 


3475 


3861 


4247 


4633 


" 20 


1556 


1944 


2333 


2722 


3111 


3500 


3889 


4278 


4667 


" 21 


1567 


1958 


2350 


2742 


3133 


3525 


3917 


4308 


4700 


" 22 


1578 


1972 


2367 


2761 


3156 


3550 


3944 


4339 


4733 


" 23 


1589 


1986 


2383 


2781 


3178 


3575 


3972 


4369 


4767 


" 24 


1600 


2000 


2400 


2800 


3200 


3600 


4000 


4400 


4800 


? 25 


1611 


2014 


2417 


2820 


3222 


3625 


4028 


4431 


4833 


M 26 


1622 


2028 


2433 


2839 


3244 


3650 


4056 


4461 


4867 


M 27 


1633 


2042 


2450 


2858 


3267 


3675 


4083 


4492 


4900 


" 28 


1644 


2056 


2467 


2878 


3289 


3700 


4111 


4522 


4933 


" 29 


1656 


2069 


2483 


2897 


3311 


3725 


4139 


4553 


4967 


" 30 


1667 


2083 


2500 


2917 


3333 


3750 


4167 


4583 


5000 



I 4 . 



BEATTY'S SHORT METHOD 



M D 


4^ | 
1678 


5$ ; 
2097 | 


6$ | 
2517 


7£ 
2936 


8$ 1 
3356 


9£ 

3775 


10 % 
4194 


11 % 
4614 


12 % 


5 1 


5033 


« 2 


1689 


2111 


2533 


2956 


3378 


3800 


4222 


4644 


5067 


- 3 


1700 


2125 


2550 


2975 


3400 


3825 


4250 


4675 


5100 


u 4 


1711 


2139 


2567 


2994 


3422 


3850 


4278 


4706 


5133 


« 5 


1722 


2153 


2583 


3014 


3444 


3875 


4306 


4736 


5167 


" 6 


1733 


2167 


2600 


3033 


3467 


3900 


4333 


4767 


5200 


u 7 


1744 


2181 


2617 


3053 


3489 


3925 


4361 


4797 


5233 


« 8 


1756 


2194 


2633 


3072 


3511 


3950 


4389 


4822 


5267 


" 9 


1767 


2208 


2650 


3092 


3533 


3975 


4417 


4858 


5300 


" 10 


1778 


2222 


2667 


3111 


3556 


4000 


4444 


4889 


5333 


" 11 


1789 


2236 


2683 


3131 


3578 


4025 


4472 


4919 


5367 


" 12 


1800 


2250 


2700 


3150 


3600 


4050 


4500 


4950 


5400 


" 13 


1811 


2264 


2717 


3169 


3622 


4075 


4528 


4981 


5433 


u 14 


1822 


2278 


2733 


3189 


3644 


4100 


4556 


5011 


5467 


" 15 


1833 


2292 


2750 


3208 


3667 


4125 


4583 


5042 


5500 


" 16 


1844 


2306 


2767 


3228 


3689 


4150 


4611 


5072 


5533 


.< 17 


1856 


2319 


2783 


3247 


3711 


4175 


4639 


5103 


5567 


" 18 


1867 


2333 


2800 


3267 


3733 


4200 


4667 


5133 


5600 


" 19 


1878 


2347 


2817 


3286 


3756 


4225 


4694 


5164 


5633 


" 20 


1889 


2361 


2833 


3306 


3778 


4250 


4722 


5194 


5667 


" 21 


1900 


2375 


2850 


3325 


3800 


4275 


4750 


5225 


5700 


" 22 


1911 


2389 


2867 


3344 


3822 


4300 


4778 


5256 


5733 


" 23 


1922 


2403 


2883 


3364 


3844 


4325 


4806 


5286 


5767 


" 24 


1933 


2417 


2900 


3383 


3867 


4350 


4833 


5317 


5800 


" 25 


1944 


2431 


2917 


3403 


3889 


4375 


4861 


5347 


5833 


» 26 


1956 


2444 


2933 


3422 


3911 


4400 


4889 


5378 


5867 


" 27 


1967 


2458 


2950 


3442 


3933 


4425 


4917 


5408 


5900 


" 28 


1978 


2472 


2967 


3461 


3956 


4450 


4944 


5439 


5933 


" 29 


1989 


2486 


2983 


3481 


3978 


4475 


4972 


5469 


5967 


" 30 


2000 


2500 


3000 


3500 


4000 


4500 


5000 


5500 


6000 



OF COMPUTING INTEREST. 



I 5« 



M D 


4£ 
2011 


5 % 
2514 


6% 
3017 


3519 




4022 


9£ 
4525 


10 % 

5028 


11 % 
5531 


12 % 


6 1 


6033 


" 2 


2022 


2528 


3033 


3539 


4044 


4550 


5056 


5561 


6067 


" 3 


2033 


2542 


3050 


3558 


4067 


4575 


5083 


5592 


6100 


u 4 


2044 


2556 


3067 


3578 


4089 


4600 


5111 


5622 


6133 


u 5 


2056 


2569 


3083 


3597 


4111 


4625 


5139 


5653 


6167 


" 6 


2067 


2583 


3100 


3617 


4133 


4650 


5167 


5683 


6200 


u 7 


2078 


2597 


3117 


3636 


4156 


4675 


5194 


5714 


6233 


" 8 


2089 


2611 


3133 


3656 


4178 


4700 


5222 


5744 


6267 


" 9 


2100 


2625 


3150 


3675 


4200 


4725 


5250 


5775 


6300 


H 10 


2111 


2639 


3167 


3694 


4222 


4750 


5278 


5806 


6333 


V 11 


2122 


2653 


3183 


3714 


4244 


4775 


5306 


5836 


6367 


- 12 


2133 


2667 


3200 


3733 


4267 


4800 


5333 


5867 


6400 


" 13 


2144 


2681 


3217 


3753 


4289 


4825 


5361 


5897 


6433 


u u 


2156 


2694 


3233 


3772 


4311 


4850 


5389 


5928 


6467 


« 15 


2167 


2708 


3250 


3792 


4333 


4875 


5417 


5958 


6500 


- 16 


2178 


2722 


3267 


3811 


4356 


4900 


5444 


5989 


6533 


u 17 


2189 


2736 


3283 


3831 


4378 


4925 


5472 


6019 


6567 


" 18 


2200 


2750 


3300 


3850 


4400 


4950 


5500 


6050 


6600 


" 19 


2211 


2764 


3317 


3869 


4422 


4975 


5528 


6081 


6633 


» 20 


2222 


2778 


3333 


3889 


4444 


5000 


5556 


6111 


6667 


" 21 


2233 


2792 


3350 


3908 


4467 


5025 


5583 


6142 


6700 


» 22 


2244 


2806 


3367 


3928 


4489 


5050 


5611 


6172 


6733 


? 23 


2256 


2819 


3383 


3947 


4511 


5075 


5639 


6203 


6767 


« 24 


2267 


2833 


3400 


3966 


4533 


5100 


5667 


6233 


6800 


" 25 


2278 


2847 


3417 


3986 


4556 


5125 


5694 


6264 


6833 


" 26 


2289 


2861 


3433 


4006 


4578 


5150 


5722 


6294 


6867 


" 27 


2300 


2875 


3450 


4025 


4600 


5175 


5750 


6325 


6900 


" 28 


2311 


2889 


3467 


4044 


4622 


5200 


5778 


6356 


6933 


" 29 


2322 


2903 


3483 


4064 


4644 


5225 


5806 


6386 


6967 


* 30 


2333 


2917 


3500 


4083 


4667 


5250 


5833 


6417 


7000 



1 6. 



BEATTY'S SHORT METHOD 



M D 


2344 


5% 
2931 


6% 
3517 


7% 
4103 


4689 


9% 

5275 


io % 
5861 


ii % 

6447 


12 % 


7 1 


7033 


11 2 


2356 


2944 


3533 


4122 


4711 


5300 


5889 


6478 


7067 


" 3 


2367 


2958 


3550 


4142 


4733 


5325 


5917 


6508 


7100 


" 4 


2378 


2972 


3567 


4161 


4756 


5350 


5944 


6539 


7133 


kt 5 


2389 


2986 


3583 


4181 


4778 


5375 


5972 


6569 


7167 


" 6 


2400 


3000 


3600 


4200 


4800 


5400 


6000 


6600 


7200 


u 7 


2411 


3014 


3617 


4219 


4822 


5425 


6028 


6631 


7233 


" 8 


2422 


3028 


3633 


4239 


4844 


5450 


6056 


6661 


7267 


- 9 


2433 


3042 


3650 


4258 


4867 


5475 


6083 


6692 


7300 


" 10 


2444 


3056 


3667 


4278 


4889 


5500 


6111 


6722 


7333 


" 11 


2456 


3069 


3683 


4297 


4911 


5525 


6139 


6753 


7367 


" 12 


2467 


3083 


3700 


4317 


4933 


5550 


6167 


6783 


7400 


" 13 


2478 


3097 


3717 


4336 


4956 


5575 


6194 


6814 


7433 


" 14 


2489 


3111 


3733 


4356 


4978 


5600 


6222 


6844 


7467 


" 15 


2500 


3125 


3750 


4375 


5000 


5625 


6250 


6875 


7500 


" 16 


2511 


3139 


3767 


4394 


5022 


5650 


6278 


6906 


7533 


u 17 


2522 


3153 


3783 


4414 


5044 


5675 


6306 


6936 


7567 


" 18 


2533 


3167 


3800 


4433 


5067 


5700 


6333 


6967 


7600 


« 19 


2544 


3181 


3817 


4453 


5089 


5725 


6361 


6997 


7633 


" 20 


2556 


3194 


3833 


4472 


5111 


5750 


6389 


7028 


7667 


" 21 


2567 


3208 


3850 


4492 


5133 


5775 


6417 


7058 


7700 


" 22 


2578 


3222 


3867 


4511 


5156 


5800 


6444 


7089 


7733 


" 23 


2589 


3236 


3883 


4531 


5178 


5825 


6472 


7119 


7767 


" 24 


2600 


3250 


3900 


4550 


5200 


5850 


6500 


7150 


7800 


" 25 


2611 


3264 


3917 


4569 


5222 


5875 


6528 


7181 


7833 


" 26 


2622 


3278 


3933 


4589 


5244 


5900 


6556 


7211 


7867 


" 27 


2633 


3292 


3950 


4608 


5267 


5925 


6583 


7242 


7900 


" 28 


2644 


3306 


3967 


4628 


5289 


5950 


6611 


7272 


7933 


" 29 


2656 


3319 


3983 


4647 


5311 


5975 


6639 


7303 


7967 


14 30 


2667 


3333 


4000 


4667 


5333 


6000 


6667 


7333 


8000 



OF COMPUTING INTEREST. 



i7- 



M D 


1 4^ 
2678 


5$ 
3347 


6% 
4017 


1% 
4686 


' 8% 
5356 


9% 
6025 


10 % 
6694 


11 % 
7364 


12 # 


8 1 


8033 


" 2 


2689 


3361 


4033 


4706 


5378 


6050 


6722 


7394 


8067 


- 3 


2700 


3375 


4050 


4725 


5400 


6075 


6750 


7425 


8100 


- 4 


2711 


3389 


4067 


4741 


5422 


6100 


6778 


7456 


8133 


14 5 


2722 


3403 


4083 


4767 


5444 


6125 


6806 


7486 


8167 


- 6 


2733 


3417 


4100 


4783 


5467 


6150 


6833 


7517 


8200 


u 7 


2744 


3431 


4117 


4803 


5489 


6175 


6861 


7547 


8233 


- 8 


2756 


3444 


4133 


4822 


5511 


6200 


6889 


7578 


8267 


- 9 


2767 


3458 


4150 


4842 


5533 


6225 


6917 


7608 


8300 


- 10 


2778 


3472 


4167 


4861 


5556 


6250 


6944 


7639 


8333 


" 11 


2789 


3486 


4183 


4881 


5578 


6275 


6972 


7669 


8367 


- 12 


2800 


3500 


4200 


4900 


5600 


6300 


7000 


7700 


8400 


" 13 


2811 


3514 


4217 


4919 


5622 


6325 


7028 


7731 


8433 


" 14 


2822 


3528 


4233 


4939 


5644 


6350 


7056 


7761 


8467 


- 15 


2833 


3542 


4250 


4958 


5667 


6375 


7083 


7792 


8500 


- 16 


2844 


3556 


4267 


4978 


5689 


6400 


7111 


7822 


8533 


u 17 


2856 


3569 


4283 


4997 


5711 


6425 


7139 


7853 


8567 


" 18 


2867 


3583 


4300 


5017 


5733 


6450 


7167 


7883 


8600 


- 19 


2878 


3597 


4317 


5036 


5756 


6475 


7194 


7914 


8633 


- 20 


2889 


3611 


4333 


5056 


5778 


6500 


7222 


7944 


8667 


" 21 


2900 


3625 


4350 


5075 


5800 


6525 


7250 


7975 


8700 


- 22 


2911 


3639 


4367 


5094 


5822 


6550 


7278 


8006 


8733 


" 23 


2922 


3653 


4383 


5114 


5844 


6575 


7306 


8036 


8767 


" 24 


2933 


3667 


4400 


5133 


5867 


6600 


7333 


8067 


8800 


- 25 


2944 


3681 


4417 


5153 


5889 


6625 


7361 


8097 


8833 


g 26 


2956 


3694 


4433 


5172 


5911 


6650 


7389 


8128 


8867 


P 27 


2967 


3708 


4450 


5192 


5933 


6675 


7417 


8158 


8900 


f 28 


2978 


3722 


4467 


5211 


5956 


6700 


7444 


8189 


8933 


1 29 


2989 


3736 


4483 


5231 


5978 


6725 


7472 


8219 


8967 


' k 30 


3000 


3750 


4500 


5250 


6000 


6750 


7500 


8250 


9000 



i8. 



BEATTY'S SHORT METHOD 



M D 


3011 


5% 
3764 


6% 
4517 


1% 
5269 


6022 


9% 

6775 


io % 

7528 


ii % 

8281 


12 % 


9 1 


9033 


" 2 


3022 


3778 


4533 


5289 


6044 


6800 


7556 


8311 


9067 


" 3 


3033 


3792 


4550 


5308 


6067 


6825 


7583 


8342 


9100 


u 4 


3044 


3806 


4567 


5328 


6089 


6850 


7611 


8372' 


9133 


" 5 


3056 


3819 


4583 


5347 


6111 


6875 


7639 


8403 


9167 


*« 6 


3067 


3833 


4600 


5367 


6133 


6900 


7669 


8433 


9200 


u 7 


3078 


3847 


4617 


5386 


6156 


6925 


7694 


8464 


9233 


" 8 


3089 


3861 


4633 


5406 


6178 


6950 


7722 


8494 


9267 


" 9 


3100 


3875 


4650 


5425 


6200 


6975 


7750 


8525 


9300 


" 10 


3111 


3889 


4667 


5444 


6222 


7000 


7778 


8556 


9333 


" 11 


3122 


3903 


4683 


5464 


6244 


7025 


7806 


8586 


9367 


" 12 


3133 


3917 


4700 


5483 


6267 


7050 


7833 


8617 


9400 


" 13 


3144 


3931 


4717 


5503 


6289 


7075 


7861 


8647 


9433 


u 14 


3156 


3944 


4733 


5522 


6311 


7100 


7889 


8678 


9467 


" 15 


3167 


3958 


4750 


5542 


6333 


7125 


7917 


8708 


9500 


" 16 


3178 


3972 


4767 


5561 


6356 


7150 


7944 


8739 


9533 


u 17 


3189 


3986 


4783 


5581 


6378 


7175 


7972 


8769 


9567 


" 18 


3200 


4000 


4800 


5600 


6400 


7200 


8000 


8800 


9600 


" 19 


3211 


4014 


4817 


5619 


6422 


7225 


8028 


8831 


9633 


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OF COMPUTING INTEREST. 



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20. 



BEATTY'S SHORT METHOD 



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1 — 1 





Condensed Tenths. 



In this manner of counting interest, we condense the tenths. 

All interest is counted and carried to the left by tens, and we 
adopt the following plan in order to get divisors for the different 
rates per cent. Divide 36 by the rate per cent, and that will give 
us a divisor to divide the time or the principal. At 4$ it takes 9 
days before we gain jL of a unit. 

At 6% it takes !± days. 
At Q% it takes 6 days. 
At 1% it takes 5| days. 
At 8% it takes 4£ days. 
At 9% it takes 4 days. 
At 10% it takes 3^ days. 
At 11$ it takes 3^ days. 
At 12f c it takes 3 days. 



24. BEATTY'S SHORT METHOD 

36 being one-tenth of 360 days, divide 36 by the rate per 
cent, and take the quotient as a divisor, for the time reduced to 
days. Multiply this by the principal and the result will be the 
interest, or divide the principal and multiply by the time. We 
can divide either the time or the principal, but in either case the 
quotient must be multiplied by the other factor, as we already 
have the tenths condensed and have the rate per cent, in the 
divisor. 

For 5$, 7$, 10$ and 11$ it is best to divide the entire time by 
36 and then multiply by the rate per cent., as it is difficult to 
handle these small fractions as divisors. 

Example 1. Find the interest on $210.00 for 6 months at 8$. 
6 months =180 days. 

8) 36.00 210. 

4.5)180 M 

40 tenths or 4 cents. $8.40 

Example 2. Find the interest on $6846.00 for 3 days at 6£. 

6)6846 

1141 

3 



$3.42,3 



Example 3. Find the interest on $9729.00 for 5 days at 8$. 

4.5)9729 

2162 

5 days 

$10.81,0 



OF COMPUTING INTEREST. 25. 

Example 4. Find the interest on same sum, for 5 days at 6$. 

6 )9729 
W2iy 2 
5 

$8.10,7^ 



Find interest on same sum for same time at lf c . 

86 )9729 
270% 

7 

1891%' 

5 

$9.45,8% 

Observe that in the above examples we have but one-tenth 
below the zero line, and any fraction that is annexed either in 
the time or the principal, is cut off. In the fraction of a dollar, 
cut off two places and as many tenths, hundredths, thousandths, 
etc., as are annexed. In examples 2 and 4, where we divide the 
principal by 6, we get one-sixth of the principal, and by multi- 
plying the one-sixth by any number of days, and cutting off the 
right hand figure, we have the interest for the given number of 
days at %%. In the 4th example should we have any other per 
cent, than six, the interest can be obtained by dividing a second 
time by 6 or the whole principal by 36, and multiplying first by 
the rate per cent, and then by the time. 

When it occurs that the divisor for the rate per cent, equals 
the time, cut off the right hand dollar figure of the principal, and 
the interest remains. See following example: 



26. BEATTY'S SHORT METHOD 

Find the interest on $6450.00 for 6 days, at 6%. 

6)6450 
107.5 



$645.0 

Find the interest on $6390.00 for 9 days at 4#. 

9)6390 Answer $6. 39 

~710 

9 

639.0 



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